The second term in the bracket indicates stress disorder called Reynolds stress tensor and proves that it is always positive.
The k- [epsilon] model is applied to calculate the Reynolds stress tensor.
fields is an appropriately blended Reynolds stress tensor entering the divergence operator on the right-hand-side of the momentum equation (Eq.
The relevant length-scale determining equation (Equations 4 or 5) is solved in conjunction with the following model equation governing the dynamics of the Reynolds stress tensor (written in symbolic notation):
Furthermore, By Using A 2D (Two-Dimensional) Module, The Velocity Of A Particle In Two Directions Can Be Measured Simultaneously, And Four Components Of The Reynolds Stress Tensor
Can Be Measured.
Such flows are studied by the Reynolds stress turbulence models (RSTM), which are based on the transport equations for all components of the Reynolds stress tensor
and the turbulence dissipation rate.
ij] is the Reynolds stress tensor
, and it is directly solved with Reynolds stress transport model that is of the following form:
They consider a range of stationary and rotating flows, and explore possible functionalities based on vorticity, rapid distortion, and the anisotropy of the Reynolds stress tensor
, together with a turbulence Reynolds number.
In order to close the turbulent Reynolds stress tensor
in the momentum equations, the so-called Boussinesque-approximation, which is based on an analogy between molecular diffusion and diffusion turbulent eddies, has been employed.